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Simplifying 7(x + -3) = -4x + 78 Reorder the terms: 7(-3 + x) = -4x + 78 (-3 * 7 + x * 7) = -4x + 78 (-21 + 7x) = -4x + 78 Reorder the terms: -21 + 7x = 78 + -4x Solving -21 + 7x = 78 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -21 + 7x + 4x = 78 + -4x + 4x Combine like terms: 7x + 4x = 11x -21 + 11x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 11x = 78 + 0 -21 + 11x = 78 Add '21' to each side of the equation. -21 + 21 + 11x = 78 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 78 + 21 11x = 78 + 21 Combine like terms: 78 + 21 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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